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arXiv · 2107.13506

Nilpotent subgroups of class $2$ in finite groups

Luca Sabatini
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Abstract

We show that every finite group $G$ of size at least $3$ has a nilpotent subgroup of class at most $2$ and size at least $|G|^{1/32\log\log|G|}$. This answers a question of Pyber, and is essentially best possible.

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Luca Sabatini. 2021-07-28. Nilpotent subgroups of class $2$ in finite groups. https://doi.org/10.1090/proc%2F15933

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